Some Properties of Graphs with Local Ore Conditions

机译：局部矿石条件图的一些性质

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The author and N.K. Khachatrian proved that a connected graph G of order at least3 is hamiltonian if for each vertex x the subgraph G(sub 1)(x) induced by x and its neighbors in G is an Ore graph. We prove here that a graph G satisfying the above conditions is fully cycle extendable. Moreover, G is panconnected if and only if G is 3-connected and G does not = K(sub n) 'V' (K bar(sub n)) for some n = or > 3 where V is the join operation. The paper is concluded with two conjectures.

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作者
Asratian, A. S.;
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年度 1993
页码 1-16
总页数 16
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Graph theory; Hamiltonians; Set theory; Theorems;

机译：图论;哈密顿量;集合论;定理;

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Some Properties of Graphs with Local Ore Conditions

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